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Finding the Fourth Proportional to 416,876.74, 575,291.90 and 225,890.48

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Solution

The fourth proportional to 416,876.74, 575,291.90 and 225,890.48 is: 311,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,876.74 : 575,291.90 = 225,890.48 : x
  2. Step 2: Convert to fraction form
    416,876.74/575,291.90 = 225,890.48/x
  3. Step 3: Cross multiply
    416,876.74x = 575,291.90 × 225,890.48
  4. Step 4: Simplify right side
    416,876.74x = 129,952,962,301.66
  5. Step 5: Solve for x
    x = 129,952,962,301.66/416,876.74
  6. Step 6: Final answer
    x = 311,729.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.